What is the Least Common Multiple of 11268 and 11276?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 11268 and 11276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11268 and 11276, than apply into the LCM equation.

GCF(11268,11276) = 4
LCM(11268,11276) = ( 11268 × 11276) / 4
LCM(11268,11276) = 127057968 / 4
LCM(11268,11276) = 31764492

Least Common Multiple (LCM) of 11268 and 11276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11268 and 11276. First we will calculate the prime factors of 11268 and 11276.

Prime Factorization of 11268

Prime Factorization of 11276

Now multiplying the highest exponent prime factors to calculate the LCM of 11268 and 11276.

LCM(11268,11276) = 2² × 3² × 313¹ × 2819¹
LCM(11268,11276) = 31764492